2007-09-24 09:25:06 · 9 answers · asked by Nathan F 1 in Science & Mathematics ➔ Mathematics
Volume of the pool = 3.141593*r**2*4 cu. ft.
=3.141593*16*4=201.062 cu ft
7.5 gallon/cu. ft.
201.062*7.5=1507.96 gallons
2007-09-24 09:35:51 · answer #1 · answered by frozen 5 · 0⤊ 0⤋
If it is a circular pool, the volume would be
height X area of circular cross-section, i.e.,
4 Pi 4^2 since the radius is the diameter divided by
2 and the area of the circle is Pi r^2.
And multiply this by 7.5 gal./ft^3 to get answer in
gallons. Hence answer is:
approximately 1507.96 gallons.
2007-09-24 09:37:23 · answer #2 · answered by tfeagin2003 2 · 0⤊ 0⤋
1 gallon [US, liquid] = 0.134 cubic foot You only gave two dimensions for your pool. Assuming your 4 1/2 foot by 25 foot pool is 5 feet deep, you would need approximately 4198 gallons of water to fill it. 4.5 * 25 * 5 =562.5 / .134 = 4197.76119
2016-05-17 21:11:30 · answer #3 · answered by ? 3 · 0⤊ 0⤋
First get the volume of the pool by multiplying area by height.
A = pi*r^2
A = pi*(4)^2
A = 16pi
V = h * A
V = 4 * 16pi
V = 64pi
Now multiply this by the ratio of gallons to feet.
64pi ft^3 * 7.5 gal/ft^3 = 480pi gal, which is your desired answer.
2007-09-24 09:32:17 · answer #4 · answered by Matiego 3 · 0⤊ 0⤋
Sounds like you're filling a cylinder.
V = pi*(r^2)*h
V = pi*(4^2)*4
V = 64pi = 201.0619 cubic feet
* 7.5 gallons/ft^3 = 1507.9644 gallons
2007-09-24 09:32:32 · answer #5 · answered by PMP 5 · 0⤊ 0⤋
Volume of a cylinder is pi * radius squared * height
V= pi * 4^2 * 4
V= pi * 16 * 4
V= 201.06192982974676726160917652989 cubic feet
V times 7.5 gallons per cubic foot is 1507.96425 gallons.
2007-09-24 09:33:02 · answer #6 · answered by Toledo Engineer 6 · 0⤊ 0⤋
V = π r ² h
V = π x 4 ² x 4 ft ³
V = 4³ π ft ³
No. of gallons
= 4³ x π x 7.5 gallons
= 1508 gallons (to nearest gallon)
2007-09-25 06:49:21 · answer #7 · answered by Como 7 · 2⤊ 0⤋
First, find how many cubic feet are in the pool and then convert that to gallons.
Make sure to divide the diameter by 2 to find the radius.
The pool is a cylinder.
V=pi(r^2)h
= pi(4^2)4
= 64pi
= 201 cubic ft
Now convert this to gallons.
201 cubic ft * 7.5 gallons / 1 cubic ft
= 1,508 gallons
2007-09-24 09:31:31 · answer #8 · answered by Larry C 3 · 0⤊ 4⤋
The assumption is that the pool is cylindrical in shape...
V (cylinder) = pi*R^2*h
V = pi * (8/2)^2 * 4
V = pi*4^2*4
V= 4^3 *pi = 201.062 ft^3
Take the Volume and divide it by the conversion factor given:
201.062 ft^3 | 7.5 gallons
----------------------------------- = 1507.96 gallons
.......................| 1 ft^3
2007-09-24 09:32:23 · answer #9 · answered by sayamiam 6 · 0⤊ 0⤋